Analysis of Retrial Queues for Cognitive Wireless Networks with Sensing Time of Secondary Users

Akutsu, Kohei; Phung-Duc, Tuan

doi:10.1007/978-3-030-27181-7_6

Cited by 11 publications

(8 citation statements)

References 8 publications

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“…As a related work, Akutsu and Phung-Duc [1] study a similar model where secondary users must sense before accessing the channel using simulation. In the study [1], analytical solution is derived for the single server case and simulation is carried out for the multi-server case. Furthermore, Phung-Duc et al [6] analytically study the same model and derive the stability condition.…”

Section: Introductionmentioning

confidence: 99%

“…Nemouchi and Sztrik [8] used stochastic simulation for performance evaluation of cognitive radio network. In this paper, in contrast to the models in [1,4,6], we consider a new model where fresh secondary users can occupy an empty channel upon arrival without sensing. Numerical solutions for priority retrial queues can be found in [9,10,12].…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic-Diffusion Analysis of Multiserver Retrial Queueing System with Priority Customers

Nazarov

Phung-Duc

Izmailova

2021

Communications in Computer and Information Science

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This paper considers a priority multi-server retrial queue with two classes of customers. Primary customers have preemptive priority over secondary users. The dynamics of primary customers is the same as that of an Erlang loss system with Poisson input and exponential service time distribution. Secondary users can cognitively use the channels when they are not used by primary users. Secondary users that see all the channels occupied upon arrival join the orbit and retry later. Upon arrival, if a primary user is lost if it sees all the channels occupied by other primary users. Upon the arrival of a primary customer, if all the channels are occupied but some channels are occupied by secondary users, one of these ongoing secondary users is interrupted by the primary user and the interrupted secondary user enters the orbit. Secondary users from the orbit retry to occupy an idle server until they are successfully occupying one. For this model, we consider an asymptotic regime in which the retrial rate is extremely low. While the number of secondary users in the orbit explodes in this regime, we prove that a scaling version of the number of users in the orbit weakly converges to a diffusion process whose drift and diffusion coefficients are constructed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymptotic-Diffusion Analysis of Multiserver Retrial Queueing System with Priority Customers

Nazarov

Phung-Duc

Izmailova

2021

Communications in Computer and Information Science

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“…A spectrum shortage problems appearing by the explosively increasing wireless networks can be solved in particular by using cognitive wireless networks [4,7]. In such a network, there are two main classes of users primary users and secondary users.…”

Section: Introductionmentioning

confidence: 99%

Stability Condition of a Multi-class Modified Erlang System

Rogozin

Morozov

2021

Information Technologies and Mathematical Modelling. Queueing Theory and Applications

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We consider a modified Erlang loss system where the first priority customers (class-1) are lost if find all servers busy, while the second priority customers (class-2) form an infinite capacity queue. A new feature of this system is that sub-classes of class-1 customers are assigned on servers according to assignment probabilities. All customers follow Poisson inputs and have general class-dependent service time. We show how the product form of class-1 stationary probabilities can be used to obtain the stability condition of the whole system even when subclasses of class-1 customers have different service rates. Also we perform discrete event simulation to confirm theoretical results.

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“…In our model, primary customers arrive according to a Poisson process implying that there are infinite number of primary customers. Akutsu and Phung-Duc [8] examine a closely related Markovian model in which secondary customers first sense the channels before occupying them. The stability condition is conjectured and verified by simulation in [8].…”

Section: Introductionmentioning

confidence: 99%

Modified Erlang loss system for cognitive wireless networks

Morozov¹,

Rogozin²,

Nguyen³

et al. 2021

Preprint

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This paper considers a modified Erlang loss system for cognitive wireless networks and related applications. A primary user has preemptive priority over secondary users and the primary customer is lost if upon arrival all the channels are used by other primary users. Secondary users cognitively use idle channels and they can wait at an infinite buffer in cases idle channels are not available upon arrival or they are interrupted by primary users. We obtain explicit stability condition for the cases where arrival processes of primary users and secondary users follow Poisson processes and their service times follow two distinct arbitrary distributions. The stability condition is insensitive to the service time distributions and implies the maximal throughout of secondary users. For a special case of exponential service time distributions, we analyze in depth to show the effect of parameters on the delay performance and the mean number of interruptions of secondary users. Our simulations for distributions rather than exponential reveal that the mean number of terminations for secondary users is less sensitive to the service time distribution of primary users.

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Analysis of Retrial Queues for Cognitive Wireless Networks with Sensing Time of Secondary Users

Cited by 11 publications

References 8 publications

Asymptotic-Diffusion Analysis of Multiserver Retrial Queueing System with Priority Customers

Asymptotic-Diffusion Analysis of Multiserver Retrial Queueing System with Priority Customers

Stability Condition of a Multi-class Modified Erlang System

Modified Erlang loss system for cognitive wireless networks

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